In [1]:
import pandas as pd 
import numpy as np 
from datetime import timedelta
import altair as alt
alt.data_transformers.enable("vegafusion")
Out[1]:
DataTransformerRegistry.enable('vegafusion')

Grid Savers: Potential Benifits to Utilize V2G¶

Using a Vehicle to Grid (V2G) system, utilities can benifit from lower residential demands during peak hours, which cuts the cost of purchasing electricity in the wholesale power market. In this report, we are interested in simulating the implementastion of such technology.

Assumptions¶

We are assuming:

  • The capacity of hardware, software, and regulation is supportive for this technology to implement
  • The reduce in demand will not effect wholesale electricity pricing

Data¶

  • Local Marginal Price (LMP) of the Day Ahead Market (DAM) in CAISO on May 5th and May6th.
    • Retrieved throught CAISO's OASIS Website
    • Preprocessed with preprocess.ipynb
    • Loaded as allNode in this notebook
  • LMP of DAM at placeholder
    • Retrieved throught ...
    • Loaded as placeholder in this notebook
  • On average, American drivers drive 30.1 miles everyday.
  • For the charger side: We are using the Tesla Wall Connector that has a 11.5 kW/h output, which is equal to 44 miles. We assume the power input is the same rate.
  • For the EV/ battery side: Below is the Useable Battery Capacity of Full Electric Vehicles (Tesla)
Model Useable Battery Capacity (kWh)
S Dual Motor 95
S Plaid 95
X Dual Motor 95
X Plaid 95
Y Long Range AWD 75
Y Long Range AWD Launch Series 75
Y Long Range RWD 75
3 Performance 75
3 Long Range Dual Motor 75
3 Long Range RWD 75
Y RWD 60
3 57.5

EDA¶

In [2]:
allNode = pd.read_csv('data/0506pre.csv')
allNode['INTERVALSTARTTIME'] = pd.to_datetime(allNode['INTERVALSTARTTIME'])
allNode.head() 
Out[2]:
OPR_DT NODE MW INTERVALSTARTTIME INTERVALENDTIME Hour_Label
0 2025-05-05 AFPR_1_TOT_GEN-APND 34.41489 2025-05-05 00:00:00 2025-05-05 01:00:00 00:00-01:00
1 2025-05-05 AFPR_1_TOT_GEN-APND 34.37762 2025-05-05 01:00:00 2025-05-05 02:00:00 01:00-02:00
2 2025-05-05 AFPR_1_TOT_GEN-APND 34.11542 2025-05-05 02:00:00 2025-05-05 03:00:00 02:00-03:00
3 2025-05-05 AFPR_1_TOT_GEN-APND 33.97113 2025-05-05 03:00:00 2025-05-05 04:00:00 03:00-04:00
4 2025-05-05 AFPR_1_TOT_GEN-APND 34.23300 2025-05-05 04:00:00 2025-05-05 05:00:00 04:00-05:00
In [3]:
chart_allNode = alt.Chart(allNode).mark_line(interpolate='step-after').encode(
    x=alt.X('INTERVALSTARTTIME:T', title='Time Interval'),
    y=alt.Y('MW:Q', title='Price ($/MWh)'),
    color='NODE:N',
    tooltip=['NODE', 'Hour_Label', 'MW']
).properties(
    title='Day-Ahead LMP ($/MWh) Over Time by Node',
    width=800,
    height=400
).interactive()

chart_allNode
Out[3]:

From the plot, we found high variability across different nodes. We want to find the ones with higher profitability to illustrate the benifit of V2G implementation.

V2G Simulation¶

Case Specifications:

  • The resident has an EV with a battery of 95 kWh
  • The resident has a charger of 11.5 kWh/h output
  • The resident uses the EV from 8:00 - 18:00 and is participated in V2G program controled by the utility from 18:00 - 8:00
  • The resident travels 30.1 miles a day
In [4]:
def optimize_battery_schedule_df_flexible_end(
    df_day,
    start_soc,
    battery_capacity=95,
    min_soc=0.2 * 95,
    max_rate=11.5,
    delta_step=11.5
):
    df_day = df_day.reset_index(drop=True)
    prices = df_day["MW"].values / 1000.0  # Convert $/MWh → $/kWh
    T = len(prices)

    # Determine highest reachable SoC
    max_possible_charge = max_rate * T
    raw_target = start_soc + max_possible_charge
    end_soc = np.floor(raw_target / max_rate) * max_rate
    end_soc = min(end_soc, battery_capacity)
    end_soc = round(end_soc, 2)

    dp = [{} for _ in range(T + 1)]
    policy = [{} for _ in range(T + 1)]
    start_soc = round(start_soc, 2)
    dp[0][start_soc] = 0.0

    for t in range(T):
        for soc in dp[t]:
            for delta in [-max_rate, 0.0, max_rate]:  # Full charge, idle, full discharge
                next_soc = round(soc + delta, 2)
                if min_soc <= next_soc <= battery_capacity:
                    cost = dp[t][soc] + delta * prices[t]
                    if next_soc not in dp[t + 1] or cost < dp[t + 1][next_soc]:
                        dp[t + 1][next_soc] = cost
                        policy[t + 1][next_soc] = (soc, delta)

    if end_soc not in dp[T]:
        # Fallback: choose best reachable SoC
        candidates = [s for s in dp[T].keys() if s <= battery_capacity]
        if not candidates:
            raise ValueError("No feasible SoE found at all.")
        end_soc = max(candidates)

    # Backtrack for actions
    soc = end_soc
    records = []
    for t in reversed(range(T)):
        prev_soc, delta = policy[t + 1][soc]
        profit = -delta * prices[t]
        row = df_day.iloc[t]
        records.append({
            "IntervalStart": row["INTERVALSTARTTIME"],
            "Hour_Label": row["Hour_Label"],
            "Action (kWh)": delta,
            "SoE Before (kWh)": prev_soc,
            "SoE After (kWh)": soc,
            "Price ($/kWh)": prices[t],
            "Profit ($)": profit
        })
        soc = prev_soc

    records.reverse()
    df_result = pd.DataFrame(records)
    df_result["Cumulative Profit ($)"] = df_result["Profit ($)"].cumsum()
    return df_result, end_soc

# -------------------------------
# Weekly loop function
# -------------------------------
def run_weekly_optimization_flexible_fixed(week_df, initial_soc=66.5):
    results = []
    soc = initial_soc

    # Define trading window based on hour
    week_df = week_df.copy()
    week_df["TradingWindowStart"] = week_df["INTERVALSTARTTIME"].apply(
        lambda x: x if x.hour >= 18 else x - timedelta(days=1)
    ).dt.normalize()

    for window_start in sorted(week_df["TradingWindowStart"].unique()):
        window_start = pd.to_datetime(window_start)
        mask = (week_df["INTERVALSTARTTIME"] >= window_start + timedelta(hours=18)) & \
               (week_df["INTERVALSTARTTIME"] < window_start + timedelta(days=1, hours=8))
        df_window = week_df[mask]

        if df_window.shape[0] < 14:
            print(f"Skipping {window_start.date()}: Incomplete data ({df_window.shape[0]} hours)")
            continue

        try:
            df_result, soc = optimize_battery_schedule_df_flexible_end(df_window, start_soc=soc)
            df_result["TradingWindowStart"] = window_start
            results.append(df_result)
        except ValueError as e:
            print(f"Skipping {window_start.date()}: {e}")

    return pd.concat(results, ignore_index=True) if results else pd.DataFrame()

def simulate_all_nodes(full_df, initial_soc=66.5):
    profit_results = []

    # Ensure datetime columns are parsed
    full_df["INTERVALSTARTTIME"] = pd.to_datetime(full_df["INTERVALSTARTTIME"])
    full_df["INTERVALENDTIME"] = pd.to_datetime(full_df["INTERVALENDTIME"])

    # Group by NODE
    grouped = full_df.groupby("NODE")

    for node, df_node in grouped:
        try:
            df_result = run_weekly_optimization_flexible_fixed(df_node, initial_soc=initial_soc)
            total_profit = df_result["Profit ($)"].sum()
            profit_results.append({
                "NODE": node,
                "Total Profit ($)": total_profit
            })
        except Exception as e:
            print(f"Skipping node {node}: {e}")

    return pd.DataFrame(profit_results).sort_values(by="Total Profit ($)", ascending=False).reset_index(drop=True)

# if __name__ == "__main__":
#     # Load your CSV file
#     path = "oneNtwoWpre.csv"  # <-- Change this if needed
#     week_df = pd.read_csv(path, parse_dates=["INTERVALSTARTTIME", "INTERVALENDTIME"])

#     # Run optimization over the full week
#     full_result = run_weekly_optimization_flexible_fixed(week_df, initial_soc=66.5)

#     # Print or save
#     print(full_result)
#     print("\nTotal Profit Over Week: $", round(full_result["Profit ($)"].sum(), 2))

#     # Optional: Save to CSV
#     full_result.to_csv("battery_weekly_schedule.csv", index=False)
In [5]:
node_profit_df = simulate_all_nodes(allNode)
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In [6]:
# node_profit_df.to_csv("node_profit_summary.csv", index=False)
node_profit_df.head(5)
Out[6]:
NODE Total Profit ($)
0 POD_ADLIN_1_UNITS-APND 4.982919
1 SLAP_PGNC-APND 4.934240
2 PGNC_1_PDRP19-APND 4.916442
3 PGNC_1_PDRP17-APND 4.916442
4 PGNC_1_PDRP01-APND 4.916442

Node POD_ADLIN_1_UNITS-APND appeared to have the most profitability with the one day of simulation. Let's retrieve more data from this location.

Below is the LMP of node POD_ADLIN_1_UNITS-APND from 2025-04-07 to 2025-05-06.

In [7]:
monthly = pd.read_csv('data/monthlypre.csv')
monthly['INTERVALSTARTTIME'] = pd.to_datetime(monthly['INTERVALSTARTTIME'])
monthly.head()
Out[7]:
OPR_DT NODE MW INTERVALSTARTTIME INTERVALENDTIME Hour_Label
0 2025-04-07 POD_ADLIN_1_UNITS-APND 4.79520 2025-04-07 00:00:00 2025-04-07 01:00:00 00:00-01:00
1 2025-04-07 POD_ADLIN_1_UNITS-APND -6.72152 2025-04-07 01:00:00 2025-04-07 02:00:00 01:00-02:00
2 2025-04-07 POD_ADLIN_1_UNITS-APND -4.41947 2025-04-07 02:00:00 2025-04-07 03:00:00 02:00-03:00
3 2025-04-07 POD_ADLIN_1_UNITS-APND -7.62245 2025-04-07 03:00:00 2025-04-07 04:00:00 03:00-04:00
4 2025-04-07 POD_ADLIN_1_UNITS-APND -7.82635 2025-04-07 04:00:00 2025-04-07 05:00:00 04:00-05:00
In [11]:
monthly.tail()
Out[11]:
OPR_DT NODE MW INTERVALSTARTTIME INTERVALENDTIME Hour_Label
715 2025-05-06 POD_ADLIN_1_UNITS-APND -71.42739 2025-05-06 19:00:00 2025-05-06 20:00:00 19:00-20:00
716 2025-05-06 POD_ADLIN_1_UNITS-APND -38.77131 2025-05-06 20:00:00 2025-05-06 21:00:00 20:00-21:00
717 2025-05-06 POD_ADLIN_1_UNITS-APND -57.76825 2025-05-06 21:00:00 2025-05-06 22:00:00 21:00-22:00
718 2025-05-06 POD_ADLIN_1_UNITS-APND -37.81099 2025-05-06 22:00:00 2025-05-06 23:00:00 22:00-23:00
719 2025-05-06 POD_ADLIN_1_UNITS-APND -66.71514 2025-05-06 23:00:00 2025-05-07 00:00:00 23:00-00:00
In [10]:
chart_month = alt.Chart(monthly).mark_line(interpolate='step-after').encode(
    x='INTERVALSTARTTIME:T',
    y='MW:Q',
    tooltip=['Hour_Label', 'MW']
).properties(
    title='Day-Ahead LMP ($/MWh) for Node- AFPR_1_TOT_GEN-APND',
    width=800,
    height=400
).interactive()

chart_month
Out[10]:
In [12]:
monthly = run_weekly_optimization_flexible_fixed(monthly)
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In [13]:
monthly 
Out[13]:
IntervalStart Hour_Label Action (kWh) SoE Before (kWh) SoE After (kWh) Price ($/kWh) Profit ($) Cumulative Profit ($) TradingWindowStart
0 2025-04-07 18:00:00 18:00-19:00 11.5 66.5 78.0 -0.065515 0.753425 0.753425 2025-04-07
1 2025-04-07 19:00:00 19:00-20:00 11.5 78.0 89.5 -0.009125 0.104935 0.858360 2025-04-07
2 2025-04-07 20:00:00 20:00-21:00 -11.5 89.5 78.0 0.004634 0.053288 0.911648 2025-04-07
3 2025-04-07 21:00:00 21:00-22:00 0.0 78.0 78.0 -0.000473 0.000000 0.911648 2025-04-07
4 2025-04-07 22:00:00 22:00-23:00 11.5 78.0 89.5 -0.001155 0.013284 0.924932 2025-04-07
... ... ... ... ... ... ... ... ... ...
401 2025-05-06 03:00:00 03:00-04:00 11.5 32.0 43.5 -0.071590 0.823286 1.675053 2025-05-05
402 2025-05-06 04:00:00 04:00-05:00 11.5 43.5 55.0 -0.065605 0.754453 2.429506 2025-05-05
403 2025-05-06 05:00:00 05:00-06:00 11.5 55.0 66.5 -0.048954 0.562970 2.992475 2025-05-05
404 2025-05-06 06:00:00 06:00-07:00 11.5 66.5 78.0 -0.058766 0.675806 3.668281 2025-05-05
405 2025-05-06 07:00:00 07:00-08:00 11.5 78.0 89.5 -0.052433 0.602984 4.271265 2025-05-05

406 rows × 9 columns

Conclusion:¶

  • This simulation calculated how much utilities can benifit from arbitrage
  • This simulation also provide a reference point

Limitations¶

  • This simulation did not consider potential costs to implement such technology
  • This simulation also did not consider the Real-Time Market
  • There is a lack of information on utilities' purchase at each node, therefore